A cylinder contains a mixture of $5 \mathrm{~g}$ of $\mathrm{N}_2$ and $6 \mathrm{~g}$ of Ar gases. If the…

A cylinder contains a mixture of $5 \mathrm{~g}$ of $\mathrm{N}_2$ and $6 \mathrm{~g}$ of Ar gases. If the total pressure of the mixture of the gases in the cylinder is 30 bar, then the partial pressure of $\mathrm{N}_2$ gas is
  1. $16.36 \mathrm{bar}$
  2. 0.545 bar
  3. 30 bar
  4. 0.180 bar

Solution

$\begin{gathered}W_{\mathrm{N}_2}=5 \mathrm{~g}, W_{\mathrm{Ar}}=6 \mathrm{~g} \\ n_{\mathrm{N}_2}=\frac{5}{28}=0.18 \mathrm{~mol} \\ n_{\mathrm{Ar}}=\frac{6}{40}=0.15 \mathrm{~mol}\end{gathered}$ $\begin{aligned} \chi_{\mathrm{N}_2} & =\frac{0.18}{0.18+0.15}=\frac{0.18}{0.33}=0.55 \\ p_{\mathrm{N}_2} & =\chi_{\mathrm{N}_2} \times p_{\text {Total }}=0.55 \times 30=16.5 \mathrm{bar}\end{aligned}$

Asked in: AP EAMCET 2021 (24 Aug Shift 2)

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